2726716608 has 672 divisors, whose sum is σ = 10637276160. Its totient is φ = 677445120.

The previous prime is 2726716607. The next prime is 2726716613. The reversal of 2726716608 is 8066176272.

2726716608 is a `hidden beast` number, since 2 + 7 + 26 + 7 + 16 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2726716607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118552885 + ... + 118552907.

It is an arithmetic number, because the mean of its divisors is an integer number (15829280).

Almost surely, 2^2726716608 is an apocalyptic number.

2726716608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2726716608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318638080).

2726716608 is an abundant number, since it is smaller than the sum of its proper divisors (7910559552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2726716608 is an equidigital number, since it uses as much as digits as its factorization.

2726716608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2726716608 is about 52217.9720785861. The cubic root of 2726716608 is about 1397.0544546529.

The spelling of 2726716608 in words is "two billion, seven hundred twenty-six million, seven hundred sixteen thousand, six hundred eight".